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Finding the Fourth Proportional to 6,001, 8,282.34 and 4,347.88

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Solution

The fourth proportional to 6,001, 8,282.34 and 4,347.88 is: 6,000.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001 : 8,282.34 = 4,347.88 : x
  2. Step 2: Convert to fraction form
    6,001/8,282.34 = 4,347.88/x
  3. Step 3: Cross multiply
    6,001x = 8,282.34 × 4,347.88
  4. Step 4: Simplify right side
    6,001x = 36,010,620.44
  5. Step 5: Solve for x
    x = 36,010,620.44/6,001
  6. Step 6: Final answer
    x = 6,000.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.